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Finding the Fourth Proportional to 2,902.91, 4,353.95 and 1,171.13

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Solution

The fourth proportional to 2,902.91, 4,353.95 and 1,171.13 is: 1,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.91 : 4,353.95 = 1,171.13 : x
  2. Step 2: Convert to fraction form
    2,902.91/4,353.95 = 1,171.13/x
  3. Step 3: Cross multiply
    2,902.91x = 4,353.95 × 1,171.13
  4. Step 4: Simplify right side
    2,902.91x = 5,099,022.62
  5. Step 5: Solve for x
    x = 5,099,022.62/2,902.91
  6. Step 6: Final answer
    x = 1,756.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.